where \(C\)  is a constant independent of \(\varepsilon \)  and \(\lambda (p)>0\)  for \(p\leqslant p_0\)  where \(3\leqslant p_0\in \mathbb {R}\cup \lbrace \infty \rbrace \) . In Kolmogorov's 1941 (“K41”) theory [1]}, [2]}, [3]}, \(\lambda (p)=p\) . However, this cannot be confirmed with physical experiments [4]}, [5]}. Various physicists therefore suggested intermittency corrections to account for the deviation from Kolmogorov's original theory, among others, Kolmogorov himself in 1962 [6]} in his refined theory of turbulence, Frisch et al. the \(\beta \) -model [7]}, as well as Novikov and Stewart [8]}. Assumption (REF ) can also accommodate the frequently used model by She and Leveque [9]} who suggested
\(\lambda (p)= \frac{p}{9}+2\left(1-\left(\frac{2}{3}\right)^{p/3}\right).\) 

